A028152 Expansion of 1/((1-4x)(1-7x)(1-10x)(1-11x)).

1, 32, 655, 10950, 163161, 2259732, 29775715, 378619250, 4689039421, 56915519232, 680089278375, 8025775900350, 93763747253281, 1086429328159532, 12502585856078635, 143058153091970250, 1629014308540764741, 18473446420865476632, 208754600438793376495

Offset

0,2

Links

Table of n, a(n) for n=0..18.

Index entries for linear recurrences with constant coefficients, signature (32,-369,1798,-3080).

Formula

a(n)=(9*11^(n+3)-14*10^(n+3)+7^(n+4)-2*4^(n+3))/252. - Yahia Kahloune, Jun 11 2013

Maple

A028152:=n->(9*11^(n+3)-14*10^(n+3)+7^(n+4)-2*4^(n+3))/252; seq(A028152(n), n=0..50); # Wesley Ivan Hurt, Nov 26 2013

Mathematica

Table[(9*11^(n+3)-14*10^(n+3)+7^(n+4)-2*4^(n+3))/252, {n, 0, 50}] (* Wesley Ivan Hurt, Nov 26 2013 *)
CoefficientList[Series[1/((1-4x)(1-7x)(1-10x)(1-11x)), {x, 0, 30}], x] (* or *) LinearRecurrence[ {32, -369, 1798, -3080}, {1, 32, 655, 10950}, 30] (* Harvey P. Dale, Sep 11 2022 *)

Prog

(PARI) a(n)=(9*11^(n+3)-14000*10^n+7^(n+4)-128*4^n)/252 \\ Charles R Greathouse IV, Jun 02 2026

Crossrefs

Sequence in context: A076072 A076069 A080480 * A028176 A028151 A160270

Adjacent sequences: A028149 A028150 A028151 * A028153 A028154 A028155

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved